18 citations · 44 across the 11 of their papers we have counts for
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math.CO1998
Recursions, formulas, and graph-theoretic interpretations of ramified coverings of the sphere by surfaces of genus 0 and 1
Ravi Vakil
We derive a closed-form expression for all genus 1 Hurwitz numbers, and give a simple new graph-theoretic interpretation of Hurwitz numbers in genus 0 and 1. (Hurwitz numbers essen…
math.AG1998
The characteristic numbers of quartic plane curves
Ravi Vakil
The characteristic numbers of smooth plane quartics are computed using intersection theory on a component of the moduli space of stable maps. This completes the verification of Zeu…
math.AG1998
Enumerative geometry of plane curves of low genus
Ravi Vakil
We collect various known results (about plane curves and the moduli space of stable maps) to derive new recursive formulas enumerating low genus plane curves of any degree with var…